Question

Q.3Write true/false-

1. Qrdinate of the points lie on x=axis is always zero.

2. The abscissa & ordinate both of origin are zero.

3. The point (-8,0)lies on x-axis.T

4. Point (2,2) lies in first quadrant.

5. point (3,-3) lies in third quadrant.​

Answer 1

Answer:

Cartesian system

Coordinate axes

Origin

Quadrants

Abscissa

Ordinate

Coordinates of a point

Ordered pair

Plotting of points in the cartesian plane:

• In the Cartesian plane, the horizontal line is called the x-axis and the vertical line

is called the y-axis,

• The coordinate axes divide the plane into four parts called quadrants,

• The point of intersection of the axes is called the origin,

• Abscissa or the x-coordinate of a point is its distance from the y-axis and the

ordinate or the y-coordinate is its distance from the x-axis,

• (x, y) are called the coordinates of the point whose abscissa is x and the ordinate

is y,

• Coordinates of a point on the x-axis are of the form (x, 0) and that of the point

on the y-axis is of the form (0, y),

COORDINATE GEOMETRY

CHAPTER 3

16/04/18 • The coordinates of the origin are (0, 0),

• Signs of the coordinates of a point in the first quadrant are (+, +), in the second

quadrant (–, +), in the third quadrant (–, –) and in the fourth quadrant (+, –).

(B) Multiple Choice Questions

Write the correct answer :

Sample Question 1: The points (other than origin) for which abscissa is equal to the

ordinate will lie in

(A) I quadrant only (B) I and II quadrants

(C) I and III quadrants (D) II and IV quadrants

Solution : Answer (C)

EXERCISE 3.1

Write the correct answer in each of the following :

1. Point (–3, 5) lies in the

(A) first quadrant (B) second quadrant

(C) third quadrant (D) fourth quadrant

2. Signs of the abscissa and ordinate of a point in the second quadrant are respectively

(A) +, + (B) –, – (C) –, + (D) +, –

3. Point (0, –7) lies

(A) on the x –axis (B) in the second quadrant

(C) on the y-axis (D) in the fourth quadrant

4. Point (– 10, 0) lies

(A) on the negative direction of the x-axis

(B) on the negative direction of the y-axis

(C) in the third quadrant

(D) in the fourth quadrant

5. Abscissa of all the points on the x-axis is

(A) 0 (B) 1

(C) 2 (D) any number

6. Ordinate of all points on the x-axis is

(A) 0 (B) 1

(C) – 1 (D) any number

Answer 2

Step-by-step explanation:

(i) False

Explanation:

The ordinate of the point P(6,0) is 0. So, it lies on the x-axis.

(ii) False

Explanation:

The perpendicular distance of the point A( 5,4) from the x-axis will be 4 units, not 5 units.